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Finding the Fourth Proportional to 137,285.62, 189,451.74 and 76,030.54

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Solution

The fourth proportional to 137,285.62, 189,451.74 and 76,030.54 is: 104,920.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    137,285.62 : 189,451.74 = 76,030.54 : x
  2. Step 2: Convert to fraction form
    137,285.62/189,451.74 = 76,030.54/x
  3. Step 3: Cross multiply
    137,285.62x = 189,451.74 × 76,030.54
  4. Step 4: Simplify right side
    137,285.62x = 14,404,118,096.14
  5. Step 5: Solve for x
    x = 14,404,118,096.14/137,285.62
  6. Step 6: Final answer
    x = 104,920.81

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.